What is the Greatest Common Factor of 50347 and 50362?

Greatest common factor (GCF) of 50347 and 50362 is 1.

GCF(50347,50362) = 1

We will now calculate the prime factors of 50347 and 50362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50347 and 50362.

How to find the GCF of 50347 and 50362?

We will first find the prime factorization of 50347 and 50362. After we will calculate the factors of 50347 and 50362 and find the biggest common factor number .

Step-1: Prime Factorization of 50347

Prime factors of 50347 are 11, 23, 199. Prime factorization of 50347 in exponential form is:

50347 = 11¹ × 23¹ × 199¹

Step-2: Prime Factorization of 50362

Prime factors of 50362 are 2, 13, 149. Prime factorization of 50362 in exponential form is:

50362 = 2¹ × 13² × 149¹

Step-3: Factors of 50347

List of positive integer factors of 50347 that divides 50347 without a remainder.

1, 11, 23, 199, 253, 2189, 4577

Step-4: Factors of 50362

List of positive integer factors of 50362 that divides 50347 without a remainder.

1, 2, 13, 26, 149, 169, 298, 338, 1937, 3874, 25181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50347 and 50362. The biggest common factor number is the GCF number.
So the greatest common factor 50347 and 50362 is 1.

Also check out the Least Common Multiple of 50347 and 50362